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106388825785 = 51189149199733
BaseRepresentation
bin110001100010101000…
…1001010011010111001
3101011121102100022121221
41203011101022122321
53220341014411120
6120512505432041
710454262045514
oct1430521123271
9334542308557
10106388825785
114113479a510
121875149b621
13a056306928
145213765d7b
152b7a07a0aa
hex18c544a6b9

106388825785 has 64 divisors (see below), whose sum is σ = 142689600000. Its totient is φ = 75505858560.

The previous prime is 106388825773. The next prime is 106388825789. The reversal of 106388825785 is 587528883601.

It is a de Polignac number, because none of the positive numbers 2k-106388825785 is a prime.

It is a super-2 number, since 2×1063888257852 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106388825789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145141279 + ... + 145142011.

It is an arithmetic number, because the mean of its divisors is an integer number (2229525000).

Almost surely, 2106388825785 is an apocalyptic number.

It is an amenable number.

106388825785 is a deficient number, since it is larger than the sum of its proper divisors (36300774215).

106388825785 is a wasteful number, since it uses less digits than its factorization.

106388825785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186.

The product of its (nonzero) digits is 25804800, while the sum is 61.

The spelling of 106388825785 in words is "one hundred six billion, three hundred eighty-eight million, eight hundred twenty-five thousand, seven hundred eighty-five".

Divisors: 1 5 11 55 89 149 199 445 733 745 979 995 1639 2189 3665 4895 8063 8195 10945 13261 17711 29651 40315 65237 66305 88555 109217 145867 145871 148255 194821 326161 326185 546085 717607 729335 729355 974105 1201387 1604537 1630805 2638939 3588035 6006935 8022685 9720313 12982163 13194695 21734183 29028329 48601565 64910815 106923443 108670915 142803793 145141645 239076013 534617215 714018965 1195380065 1934342287 9671711435 21277765157 106388825785